Some remarks on Prüfer $\star$--multiplication domains and class groups

David F. Anderson, Marco Fontana, Muhammad Zafrullah

Let $D$ be an integral domain with quotient field $K$ and let $X$ be an indeterminate over $D$. Also, let $\mathcal{T}:=\{T_{\lambda }\mid \lambda \in \Lambda \}$ be a defining family of qu…